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When random people give money to random other people (2017)
A post on Decision Science about a problem of Uri Wilensky’s has been making the rounds: Imagine a room full of 100 people with 100 dollars each. With every tick of the clock, every person wi…
But this isn’t right; the simulations in the post show clearly that inequality of wealth rapidly appears and then persists (though each individual person bobs up and down from rich to poor.) Well, we know what the stationary distribution for random walk on an undirected graph is; it gives each vertex a probability proportional to its degree. This is a well-studied problem; the mean size of the longest piece is about N log N. So I guess I think maybe that’s the expected value of the net worth of the richest player?
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